Find the given term of each arithmetic sequence

Question

-30,-22,-14,-6,...; 20th term

Answer 1

Hi Jasmine,

 

For any arithmetic sequence, the formula for computing the nth term is:

    a_n = a₁ + (n-1)d

 

Applying this formula to our problem:

           a₁ (1st term) = -30

           n (sequence # of term of interest) = 20

           d (common difference between terms) = 8

    a₂₀ = -30 + (20-1)(8)

    a₂₀ = -30 + (19)(8)

    a₂₀ = -30 + 152

    a₂₀ = 122

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.